Half-capacity crowds authorized for start of Wimbledon
The grass-court major also confirmed it will increase to full-capacity on Centre Court for the women's and men's finals.
"The question mark is obviously whether the body holds up," said Murray.
Halep will be returning to competition at the inaugural grasscourt event in Germany.
The ATP and WTA tours could soon start combined commercial activity under the name OneTennis, according to Sky News.
The 36-year-old has not played since Doha three months ago because of a foot injury.
The world No. 4, who lost his Roland Garros opener to Pablo Andujar, also recently split with his agent.
On Wednesday, the world No. 2 meets American Tommy Paul in a scheduled French Open night session.